org.spaceroots.mantissa.algebra
Class Hermite

java.lang.Object
  org.spaceroots.mantissa.algebra.Polynomial
      org.spaceroots.mantissa.algebra.Polynomial.Rational
          org.spaceroots.mantissa.algebra.OrthogonalPolynomial
              org.spaceroots.mantissa.algebra.Hermite

All Implemented Interfaces:

Serializable

public class Hermite

extends OrthogonalPolynomial

This class implements Hermite polynomials.

Hermite polynomials can be defined by the following recurrence relations:

  H0(X)   = 1
  H1(X)   = 2X
  Hk+1(X) = 2X Hk(X) - 2k Hk-1(X)
 

Version:

$Id: Hermite.java 1709 2006-12-03 21:16:50Z luc $

Author:

L. Maisonobe

See Also:

Serialized Form

Nested Class Summary

Nested classes inherited from class org.spaceroots.mantissa.algebra.Polynomial

Polynomial.DivisionResult, Polynomial.Double, Polynomial.Rational

Field Summary

Fields inherited from class org.spaceroots.mantissa.algebra.Polynomial.Rational

a

Constructor Summary

Hermite()
Simple constructor.

Hermite(int degree)
Simple constructor.

Methods inherited from class org.spaceroots.mantissa.algebra.Polynomial.Rational

add, euclidianDivision, getCoefficients, getDegree, getDenominatorsLCM, getDerivative, isIdentity, isOne, isZero, multiply, multiply, multiply, negate, subtract, toString, valueAt

Methods inherited from class org.spaceroots.mantissa.algebra.Polynomial

divide, divide, divide, multiply

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Hermite

public Hermite()

Simple constructor. Build a degree 0 Hermite polynomial

Hermite

public Hermite(int degree)

Simple constructor. Build a degree d Hermite polynomial

Parameters:

degree - degree of the polynomial